 Solution

ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2010/e/e4/b/i/solution

(x_{n})

\forall ϵ > 0 \exists N \forall m, n \geq N : d (x_{m}, x_{n}) < ϵ .

This compares sufficiently late terms with each other; it does not assume the existence of a limit in the space.

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